13739609231424 has 336 divisors, whose sum is σ = 40728628362240. Its totient is φ = 4426308771840.

The previous prime is 13739609231419. The next prime is 13739609231437. The reversal of 13739609231424 is 42413290693731.

13739609231424 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 9 + 609 + 2 + 3 + 1 + 4 + 24 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 786415009 + ... + 786432479.

It is an arithmetic number, because the mean of its divisors is an integer number (121216155840).

Almost surely, 2^{13739609231424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13739609231424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20364314181120).

13739609231424 is an abundant number, since it is smaller than the sum of its proper divisors (26989019130816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13739609231424 is a wasteful number, since it uses less digits than its factorization.

13739609231424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17938 (or 17925 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 13739609231424 in words is "thirteen trillion, seven hundred thirty-nine billion, six hundred nine million, two hundred thirty-one thousand, four hundred twenty-four".